I would not, personally. Eucalyptus globulus oil is a phenolic. It contains phenols in the extracted oil. Phenols are highly reactive for reptiles you may introduce other long term effects associated with phenols. It may kill the bacteria associated with RI but damage the liver and lungs in the process opening the door for re-occurance.
I would avoid any, and all, products that have OL at the end of the name, lysOL, eucalyptOL (eucalyptus oil), cineOL, (eucalypus product also found in oils) thymOL (mouth washes and cleaners), and phenOL (carbolic acid). To name a few.